Time-dependent currents of one-dimensional bosons in an optical lattice
Time-dependent currents of one-dimensional bosons in an optical lattice
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DOI：
10.1088/1367-2630/12/2/025014
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发表时间：
2009-08
影响因子：
3.3
通讯作者：
J. Schachenmayer;G. Pupillo;A. Daley
中科院分区：
文献类型：
--
作者：
J. Schachenmayer;G. Pupillo;A. Daley
我们分析了光学晶格中一维玻色气体中电流的时间依赖性。对于一维系统，加速晶格引起的电流的稳定性与加速的大小和粒子间相互作用的强度有很大的交叉。这与高维的平均场结果明显不同。利用无限时间演化的块抽取算法，我们通过对电流及其衰减率随时间变化的行为进行定量预测来表征这种交叉。我们还计算了可以在实验中直接测量的准凝聚馏分的时间依赖性。我们将我们的计算结果与基于相滑移方法的计算结果进行了比较，发现随着粒子密度的增加，标度结果与标度一致，但在单元填充附近有显著的偏差。
We analyse the time dependence of currents in a one-dimensional (1D) Bose gas in an optical lattice. For a 1D system, the stability of currents induced by accelerating the lattice exhibits a broad crossover as a function of the magnitude of the acceleration, and the strength of the inter-particle interactions. This differs markedly from mean-field results in higher dimensions. Using the infinite time evolving block decimation algorithm, we characterize this crossover by making quantitative predictions for the time-dependent behaviour of the currents and their decay rate. We also compute the time dependence of quasi-condensate fractions which can be measured directly in experiments. We compare our results to calculations based on phase-slip methods, finding agreement with the scaling as the particle density increases, but with significant deviations near unit filling.